hw1 - BIOMETRICS CSE190 Fall 2006 Assignment 1 Due: October...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: BIOMETRICS CSE190 Fall 2006 Assignment 1 Due: October 19, 2006 1. For a single feature, what are the optimal decision regions where: = { 1 , 2 } P(x | 1 ) = N(2, 0.5) (Normal distribution) P(x | 2 ) = N(1.5, 0.2) P( 1 ) = 2/3 P( 2 ) = 1/3 11 = 0, 12 = 1, 21 = 1, 22 =0 2. Select the optimal decision regions for the above problem when: 11 = 1, 12 = 2, 21 = 3, 22 =4 3 . Problem 2.13 in DHS. In many pattern classification problems one has the option either to assign the pattern to one of c classes, or to reject it as being unrecognizable. If the cost for rejects is not too high, rejection may be a desirable action. Let + = = = = Otherwise c i c j i j i s r j i 1 ,..., 1 , , ) | ( Where r is the loss incurred for chosing the (c+1)th action, rejection, and s is the loss incurred for making any substitution error. Show that the minimum risk is obtained if we decide i if P ( i...
View Full Document

Page1 / 2

hw1 - BIOMETRICS CSE190 Fall 2006 Assignment 1 Due: October...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online